Search a number
-
+
213232200120 = 23325643921169
BaseRepresentation
bin1100011010010110100…
…0010010100110111000
3202101101112000002122100
43012211220102212320
511443144420400440
6241542454023400
721256043536632
oct3064550224670
9671345002570
10213232200120
1182482021a85
12353ab047b60
13171528406a4
14a46b611a52
15582ee91230
hex31a5a129b8

213232200120 has 96 divisors (see below), whose sum is σ = 694083171600. Its totient is φ = 56773426176.

The previous prime is 213232200119. The next prime is 213232200121. The reversal of 213232200120 is 21002232312.

213232200120 is a `hidden beast` number, since 2 + 1 + 323 + 220 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (213232200119) and next prime (213232200121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213232200093 and 213232200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229105 + ... + 692064.

Almost surely, 2213232200120 is an apocalyptic number.

213232200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213232200120 is an abundant number, since it is smaller than the sum of its proper divisors (480850971480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213232200120 is a wasteful number, since it uses less digits than its factorization.

213232200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921829 (or 921822 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213232200120 its reverse (21002232312), we get a palindrome (234234432432).

The spelling of 213232200120 in words is "two hundred thirteen billion, two hundred thirty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 643 1286 1929 2572 3215 3858 5144 5787 6430 7716 9645 11574 12860 15432 19290 23148 25720 28935 38580 46296 57870 77160 115740 231480 921169 1842338 2763507 3684676 4605845 5527014 7369352 8290521 9211690 11054028 13817535 16581042 18423380 22108056 27635070 33162084 36846760 41452605 55270140 66324168 82905210 110540280 165810420 331620840 592311667 1184623334 1776935001 2369246668 2961558335 3553870002 4738493336 5330805003 5923116670 7107740004 8884675005 10661610006 11846233340 14215480008 17769350010 21323220012 23692466680 26654025015 35538700020 42646440024 53308050030 71077400040 106616100060 213232200120